Question 178310
Is the equation {{{11/(x+2)=5/x}}} ???


{{{11/(x+2)=5/x}}} Start with the given equation.



{{{11x=5(x+2)}}} Cross multiply



{{{11x=5x+10}}} Distribute.



{{{11x-5x=10}}} Subtract {{{5x}}} from both sides.



{{{6x=10}}} Combine like terms on the left side.



{{{x=(10)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



{{{x=5/3}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x=5/3}}} which approximates to {{{x=1.667}}}. 





=============================


Or....


Is the equation {{{11/x+2=5/x}}} ???



{{{11/x+2=5/x}}} Start with the given equation.



{{{11+2x=5}}} Multiply <b>every</b> term by the LCD "x" to clear the fractions.



{{{2x=5-11}}} Subtract {{{11}}} from both sides.



{{{2x=-6}}} Combine like terms on the right side.



{{{x=(-6)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=-3}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x=-3}}}